Let `alpha, beta, gamma` be the roots of the cubic `2x^3 + 9x^2 -27x-54=0.` If `alpha, beta, gamma` are in GP, then find `2/3 (|alpha|+|beta|+|gamma|).`

Let alpha, beta and gamma are the roots of the equation 2x^(2)+9x^(2)-27x-54=0 . If alpha, beta, gamma are in geometric progression, then the value of |alpha|+|beta|+|gamma|=

Let alpha, beta and gamma are the roots of the equation 2x^(2)+9x^(2)-27x-54=0 . If alpha, beta, gamma are in geometric progression, then the value of |alpha|+|beta|+|gamma|=

If alpha , beta, gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha, beta, gamma are the roots of the equation x^(3) - 6x^(2) + 11x - 6 = 0 and if a = alpha^(2) + beta^(2) + gamma^(2) , b = alpha beta + beta gamma + gamma alpha and c = (alpha + beta) (beta + gamma)(gamma + alpha), then the correct inequality among the following is :

If alpha, beta, gamma are the roots of 9x^3 - 7x + 6 = 0 , then alpha beta gamma is …………

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find ( beta + gamma - 3 alpha ) ( gamma + alpha - 3 beta) (alpha + beta - 3 gamma)